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What is the Least Common Multiple of 67014 and 67028?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 67014 and 67028 is 2245907196.

LCM(67014,67028) = 2245907196

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Least Common Multiple of 67014 and 67028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67014 and 67028, than apply into the LCM equation.

GCF(67014,67028) = 2
LCM(67014,67028) = ( 67014 × 67028) / 2
LCM(67014,67028) = 4491814392 / 2
LCM(67014,67028) = 2245907196

Least Common Multiple (LCM) of 67014 and 67028 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67014 and 67028. First we will calculate the prime factors of 67014 and 67028.

Prime Factorization of 67014

Prime factors of 67014 are 2, 3, 17, 73. Prime factorization of 67014 in exponential form is:

67014 = 21 × 33 × 171 × 731

Prime Factorization of 67028

Prime factors of 67028 are 2, 13, 1289. Prime factorization of 67028 in exponential form is:

67028 = 22 × 131 × 12891

Now multiplying the highest exponent prime factors to calculate the LCM of 67014 and 67028.

LCM(67014,67028) = 22 × 33 × 171 × 731 × 131 × 12891
LCM(67014,67028) = 2245907196